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Finding the Fourth Proportional to 548.78, 756.74 and 382.93

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Solution

The fourth proportional to 548.78, 756.74 and 382.93 is: 528.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.78 : 756.74 = 382.93 : x
  2. Step 2: Convert to fraction form
    548.78/756.74 = 382.93/x
  3. Step 3: Cross multiply
    548.78x = 756.74 × 382.93
  4. Step 4: Simplify right side
    548.78x = 289,777.51
  5. Step 5: Solve for x
    x = 289,777.51/548.78
  6. Step 6: Final answer
    x = 528.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.